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We describe a general framework for large-scale computational experiments inmathematics using computer resources that are available in most mathematicsdepartments. This framework was developed for an experiment that is helping toformulate and test conjectures in the real Schubert calculus. Largely usingmachines in instructional computer labs during off-hours and University breaks,it consumed in excess of 350 GigaHertz-years of computing in its first sixmonths of operation, solving over 1.1 billion polynomial systems.

Experimentation at the Frontiers of Reality in Schubert Calculus